Explanation:

The given mathematical expression is:

2 * 9 + 3 / 2.0

Let's break it down step by step:

Identify the Data Types:

• 2 and 9 are integers (int).
• 3 / 2.0 contains 2.0, which is a double (since any number with a decimal point is treated as a double in C by default).
• Because of implicit type conversion, 3 (int) is promoted to 3.0 (double) before division.

Perform Operations:

• 2 * 9 = 18 (int)
• 3 / 2.0 = 1.5 (double)
• 18 + 1.5 = 19.5 (double)

Final Data Type:

• Since one operand in 3 / 2.0 was a double, the result of the entire expression follows type promotion rules and becomes double.

Conclusion:

The final result is of double type. Hence, the correct answer is (B) double.